A final size relation for epidemic models
A final size relation is derived for a general class of epidemic models, including models with multiple susceptible classes. The derivation depends onan explicit formula for the basic reproduction number of a general class of disease transmission models, which is extended to calculate the basic repr...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2007-01-01
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| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2007.4.159 |
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| _version_ | 1832590278685360128 |
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| author | Julien Arino Fred Brauer P. van den Driessche James Watmough Jianhong Wu |
| author_facet | Julien Arino Fred Brauer P. van den Driessche James Watmough Jianhong Wu |
| author_sort | Julien Arino |
| collection | DOAJ |
| description | A final size relation is derived for a general class of epidemic models, including models with multiple susceptible classes. The derivation depends onan explicit formula for the basic reproduction number of a general class of disease transmission models, which is extended to calculate the basic reproduction number in models with vertical transmission. Applications are given to specific models for influenza and SARS. |
| format | Article |
| id | doaj-art-ae6a5a242a0240e1b6ccd4f60845e4d7 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2007-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-ae6a5a242a0240e1b6ccd4f60845e4d72025-01-24T01:53:27ZengAIMS PressMathematical Biosciences and Engineering1551-00182007-01-014215917510.3934/mbe.2007.4.159A final size relation for epidemic modelsJulien Arino0Fred Brauer1P. van den Driessche2James Watmough3Jianhong Wu4Department of Mathematics, University of Manitoba, Winnipeg, Manitoba R3T 2N2Department of Mathematics, University of Manitoba, Winnipeg, Manitoba R3T 2N2Department of Mathematics, University of Manitoba, Winnipeg, Manitoba R3T 2N2Department of Mathematics, University of Manitoba, Winnipeg, Manitoba R3T 2N2Department of Mathematics, University of Manitoba, Winnipeg, Manitoba R3T 2N2A final size relation is derived for a general class of epidemic models, including models with multiple susceptible classes. The derivation depends onan explicit formula for the basic reproduction number of a general class of disease transmission models, which is extended to calculate the basic reproduction number in models with vertical transmission. Applications are given to specific models for influenza and SARS.https://www.aimspress.com/article/doi/10.3934/mbe.2007.4.159vertical transmission.basic reproduction numberepidemic modelsfinal size relation |
| spellingShingle | Julien Arino Fred Brauer P. van den Driessche James Watmough Jianhong Wu A final size relation for epidemic models Mathematical Biosciences and Engineering vertical transmission. basic reproduction number epidemic models final size relation |
| title | A final size relation for epidemic models |
| title_full | A final size relation for epidemic models |
| title_fullStr | A final size relation for epidemic models |
| title_full_unstemmed | A final size relation for epidemic models |
| title_short | A final size relation for epidemic models |
| title_sort | final size relation for epidemic models |
| topic | vertical transmission. basic reproduction number epidemic models final size relation |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2007.4.159 |
| work_keys_str_mv | AT julienarino afinalsizerelationforepidemicmodels AT fredbrauer afinalsizerelationforepidemicmodels AT pvandendriessche afinalsizerelationforepidemicmodels AT jameswatmough afinalsizerelationforepidemicmodels AT jianhongwu afinalsizerelationforepidemicmodels AT julienarino finalsizerelationforepidemicmodels AT fredbrauer finalsizerelationforepidemicmodels AT pvandendriessche finalsizerelationforepidemicmodels AT jameswatmough finalsizerelationforepidemicmodels AT jianhongwu finalsizerelationforepidemicmodels |